


                                                                    EXHIBIT 23.4


                    CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS



We consent to the incorporation by reference in the Registration Statement (Form
S-8)  pertaining  to the  Employee  Stock  Purchase  Plan of 360  Communications
Company of our report dated January 17, 1997,  with respect to the  consolidated
financial  statements  of Chicago  SMSA  Limited  Partnership,  included  in 360
Communications  Company's Annual Report on Form 10-K for the year ended December
31, 1996,  filed with the  Securities  and Exchange  Commission;  such financial
statements are not included separately in the Form 10-K.



                                                      ARTHUR ANDERSEN LLP

Chicago, Illinois
March 27, 1997

